228637728 has 198 divisors, whose sum is σ = 742153167. Its totient is φ = 69284160.

The previous prime is 228637727. The next prime is 228637729. The reversal of 228637728 is 827736822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

228637728 is a `hidden beast` number, since 2 + 2 + 8 + 637 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (228637727) and next prime (228637729).

It can be written as a sum of positive squares in only one way, i.e., 114318864 + 114318864 = 10692^2 + 10692^2 .

It is a tau number, because it is divible by the number of its divisors (198).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10692.

Its product of digits (451584) is a multiple of the sum of its prime divisors (16).

It is not an unprimeable number, because it can be changed into a prime (228637727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 20785243 + ... + 20785253.

Almost surely, 2^228637728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228637728

228637728 is an abundant number, since it is smaller than the sum of its proper divisors (513515439).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228637728 is an frugal number, since it uses more digits than its factorization.

228637728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 16 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 228637728 is about 15120.7714088931. The cubic root of 228637728 is about 611.4805280497.

The spelling of 228637728 in words is "two hundred twenty-eight million, six hundred thirty-seven thousand, seven hundred twenty-eight".